As stated in  in this case the brane geometry is approximately described by the metric REF  with \(\Delta \equiv r^{2}+a^{2}+\beta ^{2}-2Mr-Q \) . The dynamics of a charged massive scalar perturbation \(\Psi \)  of mass \(\mu \)  and charge \(q\)  in the braneworld Kerr-Newman background is given by [1]}, [2]}, [3]},
\((\nabla ^{a}-iqA^{a})(\nabla _{a}-iqA_{a})\Psi =\mu ^{2}\Psi ~,\) 
